Results 71 to 80 of about 70,351 (225)
Journal of Mathematical Cryptology, 2014 We provide unconditional results and conditional ones under the assumption of GRH (Generalized Riemann Hypothesis) on the distribution of quadratic residues and quadratic non-residues in ℤ/Nℤ$\mathbb {Z}/N\mathbb {Z}$, where N=pq$N= pq$ is an RSA modulus
Justus Benjamin
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Spectral properties and conformal type of surfaces
Anais da Academia Brasileira de Ciências, 2002 In this short note, we announce a result relating the geometry of a riemannian surface to the positivity of some operators on this surface (the operators considered here are of the form surface Laplacian plus a scalar multiple of the curvature function).
PHILIPPE CASTILLON
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Cointegrating Polynomial Regressions With Power Law Trends
Journal of Time Series Analysis, EarlyView.ABSTRACT The common practice in cointegrating polynomial regressions (CPRs) often confines nonlinearities in the variable of interest to stochastic trends, thereby overlooking the possibility that they may be caused by deterministic components. As an extension, we propose univariate and multivariate CPRs that incorporate power law deterministic trends.
Yicong Lin, Hanno Reuvers
wiley +1 more source
On Generalized Riemann Hypothesis
, 2018 This work as a natural followup to our previous work on the Riemann hypothesis. In this work we shall demonstrate our approach in the previous work can resolve the generalized Riemann hypothesis for an non-principal primitive Dirichlet as well.Comment:
Zhang, Ruiming
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Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
Journal of Time Series Analysis, EarlyView.ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
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Newton flow of the Riemann zeta function: separatrices control the appearance of zeros
New Journal of Physics, 2014 A great many phenomena in physics can be traced back to the zeros of a function or a functional. Eigenvalue or variational problems prevalent in classical as well as quantum mechanics are examples illustrating this statement.
J W Neuberger +3 more
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Beyond Bandung and Belgrade: Damodar Dharmananda Kosambi, A Forgotten Indian Voice for World Peace
Peace &Change, EarlyView.ABSTRACT Dr. Damodar Dharmananda Kosambi (1907–1966) was an Indian polymath best known for his intellectual contributions in a dizzyingly wide range of fields: mathematics, statistics, genetics, numismatics, history, and literature. His enduring reputation seems to have been posthumously sealed as the father of Marxist historiography in India. What has
Suchintan Das
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A version of Carleman’s formula summation of the Riemann ζ -function on the critical line [PDF]
Математичні Студії, 2011 A version of Carleman's formula for functions holomorphic in a rectangle is proved. It is applied to the evaluation of the integral of ζ -function logarithm with the summing factor exp(−t) along the critical line.
A. M. Brydun, P. A. Yatsulka
doaj
On a solution to a functional equation
, 2018 We offer a solution to a functional equation using properties of the Mellin transform. A new criteria for the Riemann Hypothesis is offered as an application of our main result, through a functional relationship with the Riemann xi ...
Patkowski, Alexander E
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